Question:
Abel planned for a garden to be 42 m long but found that it needs to be 24 m long to fit in his backyard. He found the change of scale below.
![\frac{42m}{7}/{\frac{24m}{7} = \frac{6}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B42m%7D%7B7%7D%2F%7B%5Cfrac%7B24m%7D%7B7%7D%20%3D%20%5Cfrac%7B6%7D%7B4%7D)
Which is Abel’s error?
Abel should have written the ratio as ![24 metres/7 metres](https://tex.z-dn.net/?f=24%20metres%2F7%20metres)
Abel should have written the ratio as
Abel should have divided both numbers by 6.
Abel should have divided both numbers by 4.
Answer:
Abel should have divided both numbers by 6.
Step-by-step explanation:
Given
Measured Length of backyard = 42m
Actual Length of backyard = 24m
Measured Ratio: ![\frac{42m}{7}/{\frac{24m}{7} = \frac{6}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B42m%7D%7B7%7D%2F%7B%5Cfrac%7B24m%7D%7B7%7D%20%3D%20%5Cfrac%7B6%7D%7B4%7D)
Required
Error in calculation of measured ratio
From Abel's calculation:
It can be observed that He divided both numbers by 7
Though 42/7 = 6 but that's not so for 24/7
24/7≠4;
Instead 24/7 = 3.43 (Approximated)
To get the actual ration, he has to divide both numbers by the highest common factor
The common factors of 42 and 24 include 2,3,6 of which the highest is 6
Hence; HCF of 42 and 24 = 6
So, we can conclude that the error in his calculation is having not dividing both numbers by 6